Related Experiment Video
Updated: Jun 12, 2025

Probe Type II Band Alignment in One-Dimensional Van Der Waals Heterostructures Using First-Principles Calculations
Published on: October 12, 2019
A plethora of novel solitary wave solutions related to van der Waals equation: a comparative study
Asma Rashid Butt1, Adil Jhangeer2,3, Ali Akgül4,5
1Department of Mathematics, University of Engineering and Technology, Lahore, Pakistan.
Abstract:
In this article, we explore exact solitary wave solutions to the van der Waals equation which is crucial for numerous applications involving a variety of physical occurrences. This system is used to define the behavior of real gases taking into consideration finite size of molecules and also has some applications in industry for granular materials. The model is studied under the effect of fractional derivatives by employing two different definitions: , and M-truncated. Further, new extended direct algebraic method is employed to construct the solitary wave solutions for the model. The solutions transmit several novel solutions, such as dark-singular, dark-bright, singular-periodic and dark solutions, and this method establishes the conditions required for the formation of these structures. To show the comparative analysis between two different fractional operators, results are graphically represented in the form of 2-dimensional and 3-dimensional visualizations.
Related Concept Videos
Van der Waals Equation
First, the attractive forces between molecules, which are stronger at higher densities and reduce the pressure, are considered by adding to the pressure a term equal to the square of the molar density multiplied by a positive coefficient a. Second, the volume...
Van der Waals Interactions
Real Gases: Effects of Intermolecular Forces and Molecular Volume Deriving Van der Waals Equation
The de Broglie Wavelength
Standing Waves in a Cavity
Graphing the Wave Function

